Pith Number

pith:3NVRPO3I

pith:2017:3NVRPO3IVPYKRZZVZ2GPAWLGKG

not attested not anchored not stored refs pending

Enumerative geometry and geometric representation theory

Andrei Okounkov

arxiv:1701.00713 v1 · 2017-01-03 · math.AG · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3NVRPO3IVPYKRZZVZ2GPAWLGKG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:53:28.428909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db6b17bb68abf0a8e735ce8cf059665190270c318a7bce439a026a09c4153160

Aliases

arxiv: 1701.00713 · arxiv_version: 1701.00713v1 · doi: 10.48550/arxiv.1701.00713 · pith_short_12: 3NVRPO3IVPYK · pith_short_16: 3NVRPO3IVPYKRZZV · pith_short_8: 3NVRPO3I

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3NVRPO3IVPYKRZZVZ2GPAWLGKG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: db6b17bb68abf0a8e735ce8cf059665190270c318a7bce439a026a09c4153160

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0ada91fad69b0f00658d2a13a2acfb4d1c92f52314f6ae56565052fbf9f6c4f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-01-03T15:04:13Z",
    "title_canon_sha256": "8de3ad5bd2636b1f37a74f9b933d046f7a83a6318c09f9e63e87df6956766890"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.00713",
    "kind": "arxiv",
    "version": 1
  }
}